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Finding the Fourth Proportional to 231,834, 347,751 and 65,622

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Solution

The fourth proportional to 231,834, 347,751 and 65,622 is: 98,433

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,834 : 347,751 = 65,622 : x
  2. Step 2: Convert to fraction form
    231,834/347,751 = 65,622/x
  3. Step 3: Cross multiply
    231,834x = 347,751 × 65,622
  4. Step 4: Simplify right side
    231,834x = 22,820,116,122
  5. Step 5: Solve for x
    x = 22,820,116,122/231,834
  6. Step 6: Final answer
    x = 98,433

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.